Gauss hypergeometric functions, multiple polylogarithms, and multiple zeta values

DOI10.2977/prims/1260476650zbMath1188.33009OpenAlexW2162572910MaRDI QIDQ847653

Shu Oi

Publication date: 19 February 2010

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1260476650

zbMATH Keywords

multiple zeta valuesKZ equationGauss hypergeometric functionsmultiple polylogarithms

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (5)

The \(\ell\)-adic hypergeometric function and associators ⋮ Zeta functions connecting multiple zeta values and poly-Bernoulli numbers ⋮ Sums of two-parameter deformations of multiple polylogarithms ⋮ MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS ⋮ A new class of meromorphic functions involving the polylogarithm function

Cites Work

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• Multiple zeta values of fixed weight, depth, and height
• Relations for multiple zeta values and Mellin transforms of multiple polylogarithms
• Theory of Hypergeometric Functions
• Special values of multiple polylogarithms
• DUALITY FORMULAS OF THE SPECIAL VALUES OF MULTIPLE POLYLOGARITHMS
• The Sum Formula for Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation
• Derivation and double shuffle relations for multiple zeta values

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